How to Find GCF of 8293/992, 9455/1623?

GCF of 8293/992, 9455/1623

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8293/992, 9455/1623 i.e 1/1610016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8293/992, 9455/1623.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8293/992,9455/1623?

Given fractions are 8293/992,9455/1623

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8293/992,9455/1623, numerators are 8293,9455

Denominators are 992,1623

The GCF of 8293,9455 is 1 .

LCM of 992,1623 is 1610016.

The greatest common factor of 8293/992,9455/1623 = [GCF of 8293,9455]/[LCM of 992,1623]= 1/1610016

Therefore, the GCF of 8293/992,9455/1623 is 1/1610016.

Greatest Common Factor of 8293,9455

To find the highest common factor of 8293,9455, we have to find the factors of both numbers and list the highest common factor.

The factors of 8293 are 1, 8293

The factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455

The HCF of 8293,9455 is 1.

Lets's calculate GCF of 8293,9455

Greatest Common Factor (GCF) of 8293,9455 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8293,9455 By Matching Biggest Common Factor Method

Now, list down the factors of 8293

1,8293

Now, list down the factors of 9455

1,5,31,61,155,305,1891,9455

Greatest Common Factor

We found the factors 8293,9455 . The biggest common factor number is the GCF number.
So the greatest common factor 8293,9455 is 1.

Lets's calculate LCM of 992,1623

Lowest Common Multiple of 992,1623 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1610016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1610016

Therefore, the GCF of Fractions 8293/992,9455/1623 is 1/1610016

Least Common Multiple of 992,1623 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 992,1623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,1623) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(992,1623) x common factors =1 x 1 = 1

LCM(992,1623) = ( 992 × 1623 ) / 1

LCM(992,1623) = 1610016 / 1

LCM(992,1623) = 1610016

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FAQs on GCF of Fractions of 8293/992, 9455/1623

1. What is the HCF of 8293,9455?

The HCF of 8293,9455 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8293/992, 9455/1623?

Answer: GCF of Numerators as per given numbers 8293/992, 9455/1623 is

GCF of Numerators i.e. for 8293,9455 is 1

LCM of denominators i.e. for 992,1623 is 1610016.

Thus, GCF of Fractions is 1/1610016.Finally, GCF of Fractions for 8293/992, 9455/1623 is 1/1610016.